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Indefinite Integrals question

2021 · 27 Aug · Shift 2 · Q41

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JEE Main
Mathematics
Indefinite Integrals
2021 · 27 Aug · Shift 2 · Q41

Indefinite Integrals question

2021 · 27 Aug · Shift 2 · Q41

JEE MainMathematicsIndefinite IntegralsNumerical+4 / −1

If

\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {14}}(ux + v{{\log }_e}(4{e^x} + 7{e^{ - x}})) + C}

, where C is a constant of integration, then u + v is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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